A Discontinuous Coarse Spaces (DCS) Algorithm for Cell Centered Finite Volumes based Domain Decomposition Methods: the DCS-RJMin algorithm
type: Dataset
description: In this paper, we introduce a new coarse space algorithm, the ''Discontinuous Coarse Space Robin Jump Minimizer'' (DCS-RJMin), to be used in conjunction with one-level domain decomposition methods (DDM). This new algorithm makes use of Discontinuous Coarse Spaces(DCS), and is designed for DDM that naturally produce discontinuous iterates such as Optimized Schwarz Methods(OSM). This algorithm is suitable both at the continuous level and for cell-centered finite volume discretizations. At the continuous level, we prove, under some conditions on the parameters of the algorithm, that the difference between two consecutive iterates goes to $0$. We also provide numerical results illustrating the convergence behavior of the DCS-RJMin algorithm.
issued: 2026-05-07T11:03:35.461648
language: en
modified: 2026-05-07T11:03:35.461652
contact point: Organization
  fn: CCSD
keyword: discontinuous-coarse-space
keyword: domain-decomposition-methods
keyword: infoeu-reposemanticspreprint
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: msc65n55
keyword: optimized-schwarz-method
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00929807

A Discontinuous Coarse Spaces (DCS) Algorithm for Cell Centered Finite Volumes based Domain Decomposition Methods: the DCS-RJMin algorithm
type: Distribution
format: HTML
issued: 2026-05-07T11:03:35.463485
modified: 2026-05-07T11:03:35.453544
access URL: https://hal.science/hal-00929807

test_moissonnage_selune
type: Agent